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An analytical solution of bending thin plates with different moduli in tension and compression
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  • An analytical solution of bending thin plates with different moduli in tension and compression
  • An analytical solution of bending thin plates with different moduli in tension and compression
저자명
He. Xiao-Ting,Hu. Xing-Jian,Sun. Jun-Yi,Zheng. Zhou-Lian
간행물명
Structural engineering and mechanics : An international journal
권/호정보
2010년|36권 3호|pp.363-380 (18 pages)
발행정보
테크노프레스
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

Materials which exhibit different elastic moduli in tension and compression are known as bimodular materials. The bimodular materials model, which is founded on the criterion of positive-negative signs of principal stress, is important for the structural analysis and design. However, due to the inherent complexity of the constitutive relation, it is difficult to obtain an analytical solution of a bimodular bending components except in particular simple problems. Based on the existent simplified model, this paper solves analytically bending thin plates with different moduli in tension and compression. By using the continuity conditions of stress components in unknown neutral layer, we determine the location of the neutral layer, and derive the governing differential equation for deflection, the flexural rigidity, and the internal forces in the thin plate. We also use a circular thin plate with bimodulus to illustrate the application of this solution derived in this paper. The results show that the introduction of different moduli has influences on the flexural stiffness of the bending thin plate.